# It follows from the previous example that the opposite of any concretizable category C is again concretizable, since if U is a faithful functor C → Set then C < sup > op </ sup > may be equipped with the composite C < sup > op </ sup > → Set < sup > op </ sup > → Set.

# If C is any small category, then there exists a faithful functor P: Set < sup > C < sup > op </ sup ></ sup > → Set which maps a presheaf X to the coproduct.

# For technical reasons, the category Ban < sub > 1 </ sub > of Banach spaces and linear contractions is often equipped not with the " obvious " forgetful functor but the functor U < sub > 1 </ sub >: Ban < sub > 1 </ sub > → Set which maps a Banach space to its ( closed ) unit ball.

# REDIRECT exact functor

# REDIRECT exact functor

# REDIRECT Ext functor

# REDIRECT Tor functor

# REDIRECT functor

# The functor F maps coproducts ( i. e. wedge sums ) in Hotc to products in Set:

# The functor F maps homotopy pushouts in Hotc to weak pullbacks.

# REDIRECT Ext functor

# REDIRECT Derived functor

# Sheaves on topoi: If E is a topos and S is an object in E, the category E < sub > S </ sub > of S-objects is also a topos, interpreted as the category of sheaves on S. If f: T → S is a morphism in E, the inverse image functor f < sup >*</ sup > can be described as follows: for a sheaf F on E < sub > S </ sub > and an object p: U → T in E < sub > T </ sub > one has f < sup >*</ sup > F ( U )

# Co-fibred category of sheaves: The direct image functor of sheaves makes the categories of sheaves on topological spaces into a co-fibred category.

# REDIRECT Derived functor

# REDIRECT Hom functor

# Shu ( 術 shù ): method, tactic, art, or statecraft.

A typical keyboard layout for Cangjie method, which is based on keyboard layout # US | United States keyboard layout

# In Soviet filmmaking of the 1920s, " montage " was a method of juxtaposing shots to derive new meaning that did not exist in either shot alone.

# Contribution – insurers which have similar obligations to the insured contribute in the indemnification, according to some method.

# Ultrasound is the most accurate method for an experienced veterinarian, who can do an exterior examination and detect a fetus as early as 45 days.

# If such a binary-to-text encoding method has been used, it states which one.

# REDIRECT Philosophical method

# REDIRECT Philosophical method

# REDIRECT Scientific method

# REDIRECT Socratic method

# REDIRECT Socratic method

# After hybridization, excess probe is washed from the membrane ( typically using SSC buffer ), and the pattern of hybridization is visualized on X-ray film by autoradiography in the case of a radioactive or fluorescent probe, or by development of color on the membrane if a chromogenic detection method is used.

# REDIRECT philosophical method

# REDIRECT Teaching method

# An inactivated vaccine consists of virus or bacteria that are grown in culture and then killed using a method such as heat or formaldehyde.

# REDIRECT Philosophical method

# Independent research: this would be work done with core or flexible funding that allows the researchers the liberty to choose their research questions and method.

# REDIRECT Hare method

# A similar method is undertaken, but with the base of the culm standing in fresh water, either in a large drum or stream to leach out sap.

# Water is pumped through the freshly cut culms, forcing out the sap ( this method is often used in conjunction with the injection of some form of treatment ).

# Fragment free: A method that attempts to retain the benefits of both store and forward and cut through.

# Adaptive switching: A method of automatically selecting between the other three modes.

# REDIRECT Channel access method

# Client interceptors usually mediate the remote method calls on the client ( caller ) side.

# REDIRECT Academy Award for Best Picture

# The Primates ' Meeting ( first met in 1979 ) is the most recent manifestation of international consultation and deliberation, having been first convened by Archbishop Donald Coggan as a forum for " leisurely thought, prayer and deep consultation ".

# for any formula with one free variable.

# REDIRECT Existence of God # Arguments for the existence of God

for x, weight in dataWeightPairs: # Alternatively " for x, weight in zip ( data, weights ):"

# Kir ' pan: Sword for protection

# the hydrogen-like atomic orbitals are derived from the exact solution of the Schrödinger Equation for one electron and a nucleus.

# the Atonement, while qualitatively adequate for all men, was efficacious only for the man of faith ;

# De Misericordia et Justitia ( On Mercy and Justice ), a collection of biblical extracts and sayings of Church Fathers with commentary ( an important work for the history of church law and discipline ), which is to be found in the Anecdota of Martène, vol.

# that every Christian is bound to believe that he is a member of the body of Christ, and that this belief is necessary for salvation ;

# Bonuses for majority and minority shareholders.

# God is seen to be the best or only explanation for this moral experience.

# Topological algebra, infinity-stacks, ' dérivateurs ', cohomological formalism of toposes as an inspiration for a new homotopic algebra

# Schematic point of view, or " arithmetics " for regular polyhedra and regular configurations of all sorts.

# An aircraft should be “ in flight ” ( that is, according to Article 1, paragraph 3 of the Tokyo Convention, from the moment when power is applied for the purpose of take-off until the moment when the landing run ends );

# The limited range of subjects of use, because the regulations apply for civil aircraft, and do not concern military, customs or police aircraft.

A Rolls-Royce Armoured Car # Variants | Fordson armoured car waits outside Baghdad while negotiations for an armistice take place between British officials and representatives of the Iraqi rebel government.

The AFL is the List of sports attendance figures # Top 10 in average attendance | most attended national competition in Australia and the only fully professional league for Australian football in the world.

# HIV enzymes deactivate anti-apoptotic Bcl-2 This does not directly cause cell death, but primes the cell for apoptosis should the appropriate signal be received.

# HIV decreases the production of molecules involved in marking the cell for apoptosis, giving the virus time to replicate and continue releasing apoptotic agents and virions into the surrounding tissue.

# VBR-Variable bit rate: an average or Sustainable Cell Rate ( SCR ) is specified, which can peak at a certain level, a PCR, for a maximum interval before being problematic.

# It is only for two years ( 490 and 491 ) out of the twenty-five that any details are given.